The enrichment is done only when it is useful to prevent knock. When that occurs isn't constant but varies with engine speed and load.
As far as staying in closed loop at all loads and speeds, we need a clearer definition of "closed loop". It simply means the ECU is using exhaust gas composition as a feedback input to refine the air:fuel ratio.
With narrow band O2 sensors, anything other than stoichiometric mixtures must be open loop due to the inability of this type of sensor to accurately reflect mixtures away from this ratio. "Open loop" is proxy for "rich" at high loads but can be lean at light loads.
A wide band type sensor can be used at any air:fuel ratio to provide feedback so it's possible, indeed likely, that it is always used closed loop.
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